Fracture is one of the most commonly encountered failure modes of engineering materials
and structures. Prevention of cracking-induced failure is, therefore, a major concern in …

This paper presents an overview of the theories and computer implementation aspects of
phase field models (PFM) of fracture. The advantage of PFM over discontinuous approaches …

Shale reservoirs are extensively exploited using hydraulic fracturing, which forms multiple
cracks that connect with the existing natural fractures to create a continuous path for the gas …

We investigate the potential of quasi-Newton methods in facilitating convergence of
monolithic solution schemes for phase field fracture modelling. Several paradigmatic …

A phase field model for fluid-driven dynamic crack propagation in poroelastic media is
proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium …

In this paper, we propose an explicit phase field model for dynamic brittle fracture. The
mechanical field is integrated with a Verlet-velocity scheme, while the phase field is …

In this work, a critical comparison between three different numerical approaches for the
computational modelling of quasi-brittle structural failure is presented. Among the many …

Slope engineering is a complex nonlinear system. It is difficult to respond with a high level of
precision and efficiency requirements for stability assessment using conventional theoretical …

Compressive-shear fracture is commonly observed in rock-like materials. However, this
fracture type cannot be captured by current phase field models (PFMs), which have been …

The phase field paradigm, in combination with a suitable variational structure, has opened a
path for using Griffith's energy balance to predict the fracture of solids. These so-called …